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Finding the Fourth Proportional to 1,578.13, 2,367.65 and 467.57

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Solution

The fourth proportional to 1,578.13, 2,367.65 and 467.57 is: 701.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,578.13 : 2,367.65 = 467.57 : x
  2. Step 2: Convert to fraction form
    1,578.13/2,367.65 = 467.57/x
  3. Step 3: Cross multiply
    1,578.13x = 2,367.65 × 467.57
  4. Step 4: Simplify right side
    1,578.13x = 1,107,040.94
  5. Step 5: Solve for x
    x = 1,107,040.94/1,578.13
  6. Step 6: Final answer
    x = 701.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.